ANZIAM  J.  47 (2005), 277-287

Diversity sensitivity and multimodal Bayesian statistical analysis by relative entropy

Roy B. Leipnik   Mathematics Department   University of California   Santa Barbara   CA 93106--3080   USA     leipnik@math.ucsb.edu and C. E. M. Pearce   School of Mathematical Sciences   The University of Adelaide   Adelaide SA 5005   Australia     charles.pearce@adelaide.edu.au

Abstract

A list of recognised social diversities is assembled, including those used in social action programmes in the USA. Responses to diversity are discussed and diversity sensitivity defined as the derivative of response with respect to a defining parameter of a diversity distribution. Rewards (or penalties) for diversity are listed also; sensitivities to the responses to the rewards for diversity are called diversity sensitivities of the second kind. The statistics of bimodal and multimodal distributions are discussed, including the parametric estimation of such distributions by mixtures of multivariate normal distributions. An example is considered in detail.

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